2240685720 has 384 divisors, whose sum is σ = 9359582400. Its totient is φ = 472614912.

The previous prime is 2240685677. The next prime is 2240685721. The reversal of 2240685720 is 275860422.

2240685720 is a `hidden beast` number, since 2 + 24 + 0 + 68 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240685721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 686332 + ... + 689588.

Almost surely, 2^2240685720 is an apocalyptic number.

2240685720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679791200).

2240685720 is an abundant number, since it is smaller than the sum of its proper divisors (7118896680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240685720 is a wasteful number, since it uses less digits than its factorization.

2240685720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2240685720 is about 47335.8819501655. The cubic root of 2240685720 is about 1308.5600244770.

The spelling of 2240685720 in words is "two billion, two hundred forty million, six hundred eighty-five thousand, seven hundred twenty".